… To probe the non-equilibrium effects induced by the interparticle force and the gradient force,
respectively, we present the x component of Δ F and Δ G in Fig. 5. Two remarkable features …

… For the purpose of demonstrating that the DBM has the capability of capturing the nonequilibrium
effects in the iterative process dynamically, we examine the nonequilibrium quantity M …

… in predicting the non-equilibrium flow even in transition flow regime. In addition, the
measurement of non-equilibrium effects is further developed and the non-equilibrium strength D n ∗ …

… nonequilibrium effects around the shock wave are investigated using a discrete Boltzmann
… Via Chapman–Enskog analysis, the local equilibrium and nonequilibrium velocity distribution …

… Boltzmann method (LBM) and discrete simulation Monte Carlo (DSMC), which are
variants of the Boltzmann equation in discrete … These observations indicate similar non-equilibrium …

… discrete Boltzmann method (DBM) has the capability of providing deeper insight into
nonequilibrium … Because the relaxation time is a key parameter relative to the nonequilibrium …

… In this approach the discrete velocity technique intrinsic to all direct … In so doing, specific
kinetic effects as thermodiffusion were discovered. However, solving the kinetic equation for a …

… hydrodynamics models consider non-equilibrium effects through nonlinear constitutive
relations. Correspondingly, high-order kinetic models consider non-equilibrium effects via higher-…

… , the fundamental information of a specific non-equilibrium state and the non-equilibrium
effects of flow can be extracted. The fundamental characteristic quantities are written as follows: …

… discrete Boltzmann model (DBM) is proposed for multicomponent mixtures, where compressible,
hydrodynamic, and thermodynamic nonequilibrium effects … the nonequilibrium effects. …